Table of Contents
20 squared, (20)2, is the number you get when multiplying 20 times 20.
It can also be looked at as exponentiation involving the base 20 and the exponent 2.
The term is usually pronounced twenty times twenty or twenty squared.
The square of 20 is a perfect square because the number is the product of the two equal integers 20.
It can be written as 20 × 20 or in exponential form.
Read on to learn everything about the number twenty squared, including useful identities.
Calculator
(20)2 = 400
20 × 20 = 400
The inverse operation of squaring twenty is extracting the square root of 20, explained here.
In the next section we elaborate on what is 20 squared and there you can also find our calculator.
What is 20 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 20 has an area of 400.
20 squared equals the sum of the first 20 odd numbers:
In addition, the number can be calculated from 19 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(20)2 = 192 + 19 + 20 = 192 + 39 = 400
It can be also be computed from 19 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(20)2 = 2 x 192 – 182 + 2 = 2 x 361 – 324 + 2 = 400
The difference between the perfect square of 20 and its predecessor, 19, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 20 – 1 = 39 = (20)2 – 192 = 400 – 361 = 39
20 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 20 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 20, you can use our calculator above.
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A square similar to 20 is, for example: square of 22.
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The following table contains the squares of numbers close to 20.
Table
| Number | Square |
|---|---|
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
| 24 | 576 |
| 25 | 625 |
Twenty Squared
By reading so far you know all about squaring the number 20 and calculating it using recursive methods, or as sum, product or by exponentiation.
20 squared is equivalent to 400.
If you were searching for what is 20 squared in math or if you typed whats 20 squared in the search engine you now have all the answers, too.
The same goes for searches like square20, and 20 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 20 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
20 squared = 20 × 20 = (20)2 = 400.
The exponentiation form is mostly used to denote twenty squared.
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– Article written by Mark, last updated on November 26th, 2023